Abstract:Real control of robot is realized successfully by using spring to imitate the lumbar of human-being and adopt-ing LQR(linear quadratic regulator).For posture control of the flexible two-wheeled self-balancing robot,a kind of discrete Hopfield network way based on associative study is presented,and self-adaptive and self-organizing posture control is accom-plished in a manner of biological control.Firstly,a reasonable energy function is defined for the nonlinear,strong coupling and flexible robot system.Then,a Hopfield neural network controller suitable for this dynamic process is designed based on the dynamics equation of the flexible robot,and its convergence is analyzed.Simulation experiments show the effectiveness of the method and prove the stability of the system.The rationality and availability of the system posture controller design are indicated through analyzing the experiment results in detail.
[1] Zhou J,Wu W,Ding B,The application of disturbance observer in two-wheeled mobile robot[C]//IEEE Conference on Robotics,Automation and Mechatronics,Piscataway,NJ,USA:IEEE,2004:171-174.
[2] 黄永志,陈卫东.两轮移动机器人运动控制系统的设计与实现[J].机器人,2004,26(1):40-44.Huang Yongzhi,Chen Weidong.Design and implementation of motion controller of two-wheeled mobile robot[a].Robot,2004,26(1):40-44.
[3] 吴克河,李为,柳长安,等.双轮驱动式移动机器人动力学控制[J].宇航学报,2006,27(2):272-275.Wu Kebe,Li Wei,Liu Changan,et al.Dynamic control of twowheeled mobile robot[J].Journal of Astronautics,2006,27(2):272-275.
[4] Boskovich S M.Two wheeled robot control system[Cl//Weseon Conference Record.Los Angeles,CA,USA:Wescon,1995:750-755.
[5] Kim D-H,Oh J-H.Tracking control of a two-wheeled mobile robot using input-output linearization[J].Control Engineering Practice,1999,7(3):369-373.
[6] Urakubo T,Tsuchiya K,Tsujita K.Motion control of a twowheeled mobile robot[J].Advanced Robotics,2001,15(7):711-728.
[7] Karniel A,Fleming K M,Sanguineti V,et al.Dynamic properties of the lamprey's neuronal circuit as it drives a two-wheeled robot[EB/OL].(2002)[2009-05-20].http://vision.technion.ac.il/karniel/pub/Kamieletal_SAB 2002.pdf.
[8] Bni T H,Nguyen T T,Chung T L,et al.A simple nonlinear control of a two-wheeled welding mobile robot[J].International Journal of Control,Automation,aad Systems,2003,1(1):35-42.
[9] Kim Y H,Kim S H,Kwak Y K.Dynamic analysis of a nonholonomic two-wheeled inverted pendulum robot[J].Journal of Intelligent and Robotic Systems:Theory and Applications,2005,44(1):25-46.
[10] Kozlowski K,Pazderski D.Stabilization of two-wheeled mobile robot using smooth control laws:Experiment study[C]//IEEE International Conference on Robotics and Automation.Piscataway,NJ,USA:IEEE,2006:3387-3392.
[11] Anderson D P.NBot Balancing Robot[EB/OL].(2010-03-01)[2010-03-02].http://www.geology.smu.edu/~dpa-www/robo/nbot/index.html.
[12] Thibodeau B J,Deegan P,Grupen R.Static analysis of contact forces with a mobile manipulator[C]//IEEE International Conference on Robotics and Automation.Piscataway,NJ,USA:IEEE,2006:4007-4012.
[13] Salerno A,Angeles J.On the nonlinear controllability of a quasiholonomic mobile robot[C]//IEEE International Conference on Robotics and Automation.Piscataway,NJ,USA:IEEE,2003:3379-3384.
[14] Grasser E D'Arrigo A,Colombi S,et al.JOE:A mobile,inverted pendulum[J].IEEE Transactions on Industrial Electronics,2002,49(1):107-114.
[15] Hopfield J J.Neural networks and physical systems with emergent collective computational abilities[J].Proceedings of the National Academy of Sciences of the United States of America:Biological Sciences,1982,79(8):2554-2558.
[16] Hopfield J J.Neurons with graded response have collective computational properties like those of two-state neurons[J].Proceedings of the National Academy of Sciences of the United States of America:Biological Sciences,1984,81(10):3088-3092.
[17] Hopfield J J,Tank D W.Neural computation of decisions in optimization problems[J].Biological Cybernetics,1985,52(3):141-152.
[18] Hopfield J J,Tank D W.Computing with neural circuits:A model[J].Science,1986,233(4764):625-633.
[19] Hopfield J J.Artificial neural networks[J].IEEE Circuits and Devices Magazine,1988,4(5):3-10.
[20] Fan C-H,Cben W-D,Xi Y-G.A neural networks-based approach to safe path planning of mobile robot in unknown environment[J].Acta Automatica Siniea,2004,30(6):816-823.
[21] Lendaris G G,Mathia K,Saeks R.Linear Hopfield networks and constrained optimization[J].IEEE Transactions on Systems,Man and Cybernetics,Part B,1999,29(1):114-118.
[22] Sadati N,Taberi J.Solving robot motion planning problem using Hopfield neural network in a fuzzified environment[C]//IEEE International Conference on Plasma Science.Piscataway,NJ,USA:IEEE,2002:1144-1149.
[23] Tani J.Visual attention and learning of a cognitive robot[C]//Lecture Notes in Computer Science,vol.1327.Berlin,Germany:Springer-Verlag,1997:697-702.
[24] Li M-A,Ruan X-G.Optimal control with continuous Hopfield neural network[C]//IEEE International Conference on Robotics,Intelligent Systems and Signal Processing.Piscataway,NJ,USA:IEEE,2003:758-762.
[25] 虞忠伟,陈辉堂,王月娟.基于Hopfield神经网络的机器人规划控制器设计[J].同济大学学报:自然科学版,2000,28(6):694-698.Yu Zhongwei,Chen Huitang,Wang Yuejuan.Robot programming controller design based on Hopfield neural network[J].Journal of Tongji University:Natural Science,2000,28(6):694-698.
[26] 姜惠兰,孙雅明.异联想记忆Hopfield神经网络的模型、算法及性能[J].系统工程理论与实践,2005,25(5):101-107.Jiang Huilan,Sun Yaming.Hetero associative memory Hopfield NN model,learning algorithms and performance[J].Systems Engineering-Theory & Practice,2005,25(5):101-107.